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488234376 = 233273131249
BaseRepresentation
bin11101000110011…
…101110110001000
31021000200212122200
4131012131312020
51444442000001
6120240320200
715045631560
oct3506356610
91230625580
10488234376
11230660793
12117613060
137a1c59a6
1448bb1da0
152cce2086
hex1d19dd88

488234376 has 96 divisors (see below), whose sum is σ = 1560000000. Its totient is φ = 134991360.

The previous prime is 488234371. The next prime is 488234399. The reversal of 488234376 is 673432884.

488234376 is a `hidden beast` number, since 48 + 8 + 234 + 376 = 666.

488234376 is a nontrivial binomial coefficient, being equal to C(31249, 2).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (488234371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1 + ... + 31248.

It is an arithmetic number, because the mean of its divisors is an integer number (16250000).

Almost surely, 2488234376 is an apocalyptic number.

488234376 is the 31248-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488234376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780000000).

488234376 is an abundant number, since it is smaller than the sum of its proper divisors (1071765624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

488234376 is a wasteful number, since it uses less digits than its factorization.

488234376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31299 (or 31292 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 488234376 is about 22096.0262490793. The cubic root of 488234376 is about 787.4254574945.

The spelling of 488234376 in words is "four hundred eighty-eight million, two hundred thirty-four thousand, three hundred seventy-six".